Let h be a function defined for all x does not equal 0 such that h(4)=-3 and and the derivative of h is given by
h'(x)=((x^2)-2)/x for all x not equal 0.
(a) Find all values of x for which the graph of h has a horizontal tangent, and determine whether h has a local maximum, a local minimum, or neither at each of these values.
(b) On what intervals, if any, is the graph of h concave up? J
(c) Write an equation for the line tangent to the graph of h at x = 4.
(d) Does the line tangent to the graph of h at x = 4 lie above or below the graph of h for x>4? Why?